Given are five observations for two variables, x and y. x 1 2 3 4 5 y 3 8 6 11 14 Round your answers to two decimal places. Use Table 1 of Appendix B. a. Using the following equation: - 1 (x*x)² + in Σ(x-x)² Estimate the standard deviation of ŷ* when x = 3. b. Using the following expression: y±1/2 Develop a 95% confidence interval for the expected value of y when x = 3. to c. Using the following equation: Spred s√1+ + n (x* - x)² ΣΟ - Estimate the standard deviation of an individual value of y when x = 3. d. Using the following expression: y⚫ ±1/2³ pred Develop a 95% prediction interval for y when x = 3. If your answer is negative, enter minus (-) sign. to
Given are five observations for two variables, x and y. x 1 2 3 4 5 y 3 8 6 11 14 Round your answers to two decimal places. Use Table 1 of Appendix B. a. Using the following equation: - 1 (x*x)² + in Σ(x-x)² Estimate the standard deviation of ŷ* when x = 3. b. Using the following expression: y±1/2 Develop a 95% confidence interval for the expected value of y when x = 3. to c. Using the following equation: Spred s√1+ + n (x* - x)² ΣΟ - Estimate the standard deviation of an individual value of y when x = 3. d. Using the following expression: y⚫ ±1/2³ pred Develop a 95% prediction interval for y when x = 3. If your answer is negative, enter minus (-) sign. to
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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